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Finding the Third Proportional to 63,450 and 95,019

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Solution

The third proportional to 63,450 and 95,019 is: 142,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,450 : 95,019 = 95,019 : x
  2. Step 2: Convert to fraction form
    63,450/95,019 = 95,019/x
  3. Step 3: Cross multiply
    63,450x = 95,019 × 95,019
  4. Step 4: Simplify right side
    63,450x = 9,028,610,361
  5. Step 5: Solve for x
    x = 9,028,610,361/63,450
  6. Step 6: Final answer
    x = 142,294.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.